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On the Bilateral Series 2ψ2

Vincent Y. B. Chen, William Y. C. Chen, Nancy S. S. Gu

math.COarXiv:math/0701062

Abstract

We obtain a formula which reduces the evaluation of a 2ψ2 series to two 2ϕ1 series. In some sense, this identity may be considered as a companion of Slater's formulas. We also find that a two-term 2ψ2 summation formula due to Slater can be derived from a unilateral summation formula of Andrews by bilateral extension and parameter augmentation.

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